A parallel plate capacitor has a uniform electric field E in the space between the plates. If the distance between the plates is d and area of each plate is A, the energy stored in the capacitor is ?

A parallel plate capacitor has a uniform electric field E in the space between the plates. If the distance between the plates is d and area of each plate is A, the energy stored in the capacitor is ?

(a) \( \frac{1}{2} \varepsilon_0 E^2 \)

(b) \( \frac{E^2 A d}{\varepsilon_0} \)

(c) \( \frac{1}{2} \varepsilon_0 E^2 A d \)

(d) \( \varepsilon_0 E A d \)

Answer :  (c) \( \frac{1}{2} \varepsilon_0 E^2 A d \)

\( V = E D \)

\( U = \frac{1}{2} C V^2 \)

\( = \frac{1}{2} \varepsilon_0 E^2 A d \)